Chengchieidn
Answered

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Find a, if b = 89° and c = 38°​

Find A If B 89 And C 38 class=

Sagot :

Jayrilpatnongon143idn

Answer:

53°

Step-by-step explanation:

89+38=127

180-127=53

KAntoineDoixidn

ANGLES

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» Angle (a), angle (b), and angle (c) are Supplementary angles because of line AD.

[tex] \: : \implies \sf \large m \angle a + m\angle b + m \angle c = 180 \degree[/tex]

» Substitute the given values to find angle (a):

[tex]\implies \sf \large m \angle a + 89 \degree + 38 \degree = 180 \degree[/tex]

[tex]\implies \sf \large m \angle a + 127 \degree = 180 \degree[/tex]

[tex]\implies \sf \large m \angle a = 180 \degree - 127 \degree[/tex]

[tex]\implies \sf \large m \angle a = 53 \degree \\ \\ [/tex]

Final Answer:

[tex] \tt \huge » \: \purple{m \angle a = 53 \degree}[/tex]

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